Problem 2-11 (algorithmic) let a be an event that a person's primary method of transportation to and from work is an automobile and b be an event that a person's primary method of transportation to and from work is a bus. suppose that in a large city p(a) = 0.48 and p(b) = 0.32. are events a and b mutually exclusive? yes what is the probability that a person uses an automobile or a bus in going to and from work? if required, round your answer to two decimal places. find the probability that a person’s primary method of transportation is some means other than a bus. if required, round your answer to two decimal places. p(bc) =

The events are mutually exclusive, because your primary method can't be both a driving a car or taking a bus.

Since they are exclusive, the probability of the "or" clause is the sum of the probabilities:

Since a person primarily takes a bus with probability 0.32, the opposite happens with probability

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.